New Bosonic Operator Ordering Identities Gained by the Entangled State Representation and Two-Variable Hermite Polynomials |
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| Authors: | FAN Hong-Yi FAN Yue |
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| Affiliation: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | Based on the technique of integration within an ordered product of operators, we derive new bosonicoperators' ordering identities by using entangled state representation and the properties of two-variable Hermite poly-nomials H and vice versa. In doing so, some concise normally (antinormally) ordering operator identities, such asa+man =:Hm,n(a+,a):, ana+m = (-i)m+n:Hm,n(ia+,ia): are obtained. |
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| Keywords: | operator ordering entangled state two-variable Hermite polynomials |
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